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Finding the Fourth Proportional to 12,288.47, 18,432.68 and 3,054.47

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Solution

The fourth proportional to 12,288.47, 18,432.68 and 3,054.47 is: 4,581.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.47 : 18,432.68 = 3,054.47 : x
  2. Step 2: Convert to fraction form
    12,288.47/18,432.68 = 3,054.47/x
  3. Step 3: Cross multiply
    12,288.47x = 18,432.68 × 3,054.47
  4. Step 4: Simplify right side
    12,288.47x = 56,301,960.64
  5. Step 5: Solve for x
    x = 56,301,960.64/12,288.47
  6. Step 6: Final answer
    x = 4,581.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.